J Austral Math Soc Ser A 48 pp264--280, 1990.
(Received 18 April 1988)
We study the characteristic p analogue of M-groups, the so-called Mp-group. Generalizing this notion, we also consider the condition that the modular irreducible representations are induced from representations of dimension < p, or even weaker, of dimension not divisible by p.
1980 AMS Subject Classification (1985 Revision): 20C05, 20C20
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